Plzzzz help asap thank you

Answer:

[tex](a)\ y = -0.75x + 26[/tex]

[tex](b)\ y = 14.75[/tex]

Step-by-step explanation:

Given

See attachment for scatter plot

Required

Equation of the line of best fit

Pick any two points on the line

[tex](x_1,y_1) = (24,8)[/tex]

[tex](x_2,y_2) = (8,20)[/tex]

Calculate the slope (m)

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

[tex]m =\frac{20-8}{8-24}[/tex]

[tex]m =\frac{12}{-16}[/tex]

[tex]m =-0.75[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = -0.75(x - 24) + 8[/tex]

[tex]y = -0.75x + 18 + 8[/tex]

[tex]y = -0.75x + 26[/tex]

Solving (b): y, when [tex]x = 15[/tex]

[tex]y = -0.75x + 26[/tex] becomes

[tex]y = -0.75*15 + 26[/tex]

[tex]y = -11.25 + 26[/tex]

[tex]y = 14.75[/tex]

Answer:

something.....................

Answer:

x = 24, x = -16

Step-by-step explanation:

Given the function f(x) = 0.5|x – 4| – 3, we are to find the values of x for f(x) = 7

Substitute f(x) = 7 into the expression;

7 = 0.5|x – 4| – 3

For the positive function

7 = 0.5(x – 4) – 3

7 = 0.5x - 2 - 3

7 = 0.5x - 5

7+5 = 0.5x

12 = 0.5x

12 = x/2

Swap

x/2 = 12

x = 12 * 2

x = 24

For the negative function

7 = 0.5-(x – 4) – 3

7 = 0.5(-x +4) - 3

7 = -0.5x +2 - 3

7 = -0.5x - 1

7+1 = -0.5x

8 = -x/2

Swap

-x/2 = 8

-x = 8 * 2

-x = 16

x = -16

Hence the required values of x are -16 and 24

Step-by-step explanation:

The area of a square is given by :

A = a²

Where

a is the side of the square

For square A, Area = 64 sq units

64 = a²

a = 8 units

For square B, Area = 30 sq units

30 = a²

a = [tex]\sqrt{30}[/tex] units

For square C, Side length = 14 units

A = 14²

A = 196 sq units

For square D, Side length =  [tex]\sqrt{30}[/tex] units

A = [tex](\sqrt{30})^2[/tex]²

A = 30 sq units

Hence, this is the required solution.

Answer:

x = 37 y = 27

Step-by-step explanation:

x = y + 10

x + y = 64

y + 10 + y = 64

y = 27

64 - 27 = 37

Answer:

What coatside dad said

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u !!

4.208 + 2.482= 6.69 so rounding that would be 7                                      

4.208 + 2.482 = 6.69

When we round it to the nearest, it becomes 7.

Hope it helps you..

Answer:

C. It is shifted 4 units down.

Step-by-step explanation:

Shifted four units down. When a number is at the end of the equation, it means that that number shifts up or down depending on its sign.  

Answer:

It is shifted 4 units down

Step-by-step explanation:

When we have a function the constant number that is not multiplied by a variable, in this case, 4 in the first function, indicates where the function will intercept the y-axis, or when x is equal to 0.

In this case, we have two functions:

y = 5x^2 - 4, in which -4 is the constant that will determine where the function intercepts the y-axis. So if we say that we have x=0, then y=-4

In the second function we have:

y= 5x^2, this function is very similar but we don´t have another number after 5x^2, so we will have a similar graph but when x = 0 then y = 0.

So the first graph is shifted 4 units down. We can see this in the attachment.

It shifted 4 u it’s to the left

It is shifted 4 units to the left.

Answer:

DE = AE - AD

=> DE = 18.5 - 15.5 = 3

CD = CE - DE = 8 - 3 = 5

Step-by-step explanation:

Simple interest=principal× time× rate/100

=7430×3×5/100

=1114.5

Answer:

114.5

Step-by-step explanation:

Answer:

b=112°

Step-by-step explanation:

two complementary angles

b=180°-68°=112°

sum of 2 angles is

x= 35°+25°=60°

Answer:

3. b=112

4. x = 60

Step-by-step explanation:

3.

b is equal to 112 since 68+b will be equal to a supplementary angle; an angle that adds up to 180. 180-68 is equal to 112.

4.

35+25 = 60, therefore x = 60.

Answer:

25 red marbles

The question is incomplete. The complete question is :

To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by the equation g = 748u, where g is the total number of gallons of water used and u is the number of units. Determine which statements about the relationship are true. Check all that apply.

g is the dependent variable.

u is the dependent variable.

g is the independent variable.

u is the independent variable.

The variables cannot be labeled without a table of values.

The variables cannot be labeled since any value can be selected for either

Solution :

Given equation :

g = 748 u

Here, g = total number of gallons of water used

         u = number of units

Customers uses the number of units of water.

The unit of water is independent of the total number of gallons of water used.

So the number of units u is an independent variable.

But the value of gallons of water depends on the number of units that is used.

Therefore, number of gallons of water g is a dependent variable.

Thus, we can say that :

Answer: 1.28 cups of water per cup of milk

Step-by-step explanation:

0.8 divided by 5/8 equals 1.28

verified by my teacher :)

Answer:

What are the statements?

Step-by-step explanation:

You have to list the statements.

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

Answer:

30/100

Step-by-step explanation:

30% as a fraction is 3/10; In simplest form is 30% = 30/100.

Answer:

MP = RS 7,800

Step-by-step explanation:

Let

Marked price = MP

MP x (100 – 15) / 100 = Rs 6,630

MP × (85)/100 = Rs 6,630

MP = Rs 6,630 ÷ 85/100

MP = 6,630 × 100/85

MP = 663,000/85

MP = 7,800

MP = RS 7,800

Answer:

The tower is approximately 57.34 meters long

Step-by-step explanation:

The given parameters are;

The type of triangle formed by ΔABC = Non-right triangle

The measure of ∠ACB = 55°

The horizontal displacement of the tower, BX = 5 m

The length of BC = 45 m

Therefore, we have;

Triangle ΔABC type = Right triangle

By the tangent to an acute angle, θ, in a right triangle, we have;

[tex]Tan(\theta) = \dfrac{Opposite \, side \ length}{Adjacent\, side \ length}[/tex]

Where θ is the 55°, we have angle, we have;

[tex]Tan(55^{\circ}) = \dfrac{XA}{XC}[/tex]

BC = BX + XC

∴ XC = BC - BX

XC = 45 m - 5 m = 40 m

[tex]\therefore Tan(55^{\circ}) = \dfrac{XA}{40}[/tex]

XA = 40 × tan(55°) ≈ 57.126

The type of triangle formed by ΔABX = Right triangle

According to Pythagoras theorem, AB² = XA² + BX²

∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34

The length of the tower, AB ≈ 57.34 m

Answer:

5x-20=3x(alternate angle)

5x-3x=20

2x=20

x=20/2

x=10

now ,

2y +4y+5x-20=180(sum of angles of a triangle)

6y+50-20=180

6y+30=180

6y=180-30=150

y=150/6

y=25

hope this will help

Answer:

D 1/25

Step-by-step explanation:

5 multiplied by the negative second power is .04, .04 times 25 equals 1.

Answer:

16. 8/x

17. 8x

18. 4x⁴/y³ (not clear)

19. 16x^8

20. 256 R⁴

21. 64x^6

22. 81x^8

23. 1/ 3x

24. 5x

25. 1

Answer:

6.4 meters per second

Step-by-step explanation:

Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How much faster was Sarah the cheetah’s speed, to the nearest tenth of a meter per second?

0.9 meters per second

1.6 meters per second

6.4 meters per second

10.4 meters per second

Speed = distance / time

Olympian's speed = 100 / 9.6 = 10.4 meters per second

Sarah's speed = 16.8 meters per second.

Difference in speed = 16.8 - 10.4 = 6.4

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answers:

=====================================================

Explanation:

The diagrams for problems 7 and 8 are shown below.

------------------------------------

Problem 7

Apply the tangent ratio to find that...

tan(angle) = opposite/adjacent

tan(42) = x/28

28*tan(42) = x

x = 28*tan(42)

x = 25.2113132403396

x = 25.2

Make sure your calculator is in degree mode. One way to check is to type in tan(45) and you should get 1 as a result.

------------------------------------

Problem 8, part 1

To find the angle y, we must use the sine ratio

sin(angle) = opposite/hypotenuse

sin(y) = 18/23

y = arcsin(18/23)

y = 51.5000495907521

y = 52 degrees approximately

------------------------------------

Problem 8, part 2

We can use the pythagorean theorem to find the missing side x

a^2+b^2 = c^2

18^2+x^2 = 23^2

324+x^2 = 529

x^2 = 529-324

x^2 = 205

x = sqrt(205)

x = 14.3178210632763

x = 14.3

Or alternatively, we can apply the tangent ratio on the angle y we found earlier to help find x

tan(angle) = opposite/adjacent

tan(y) = 18/x

tan(51.50004959) = 18/x

x*tan(51.50004959) = 18

x = 18/tan(51.50004959)

x = 14.3178210636621

x = 14.3

------------------------------------

Problem 9

The double tickmarks show that BE = EC = 10. That means BC = BE+EC = 10+10 = 20.

Since we have similar triangles, we can solve for x like so

DE/AC = BE/BC

x/44 = 10/20

20x = 44*10

20x = 440

x = 440/20

x = 22

So DE is 22 units long. Note how this is half as long as the side AC = 44.

Answer: $17.85

Step-by-step explanation:

The tax on the T-shirt is 5% and the price is $17.

To find the after-tax cost, first find the tax amount:

= 5% * 17

= $0.85

Then add this tax amount to the price to find the after-tax amount:

= 17 + 0.85

= $17.85

Answer:

[tex]\frac{x}{3} + \frac{1}{1} = \frac{x+3}{3}[/tex]

Step-by-step explanation:

[tex]\frac{x}{3} + \frac{1}{1} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ LCM \ of \ 1 , 3 = 3 \ ]\\\\= \frac{x}{3} + \frac{1 \times 3}{1 \times 3} \\\\= \frac{x}{3} + \frac{3}{3}\\\\=\frac{x+ 3}{3} \\\\[/tex]

Answer:

Step-by-step explanation: